> You parse
> a b / c d
> as ((a * b) / c) * d ?
"a b / c d" is completely different from "a * b / c * d"
w.r.t. precedence. And so is "a * b ÷ c * d" or "a × b ÷ c × d".
There's no good reason why they necessarily all three get
parsed identically.
As it so happens, Calc is the only tool I know which parses
"a * b / c * d" differently than "((a * b) / c) * d". So whether it
makes sense or not doesn't really matter, because the other way to parse
it also makes sense and has the benefit of agreeing with the world
out there.
Stefan